Solving Linear Inequalities

The video tutorial explains how to solve inequalities by first simplifying the expression, combining like terms, and then isolating the variable. It demonstrates the process of adding or subtracting terms on both sides of the inequality and dividing to isolate the variable, ultimately finding the solution set for the inequality.

What is the first step when solving inequalities?

• Isolate the variable

• Combine like terms

• Add constants

• Divide by the coefficient

Which terms are combined in the inequality 8X + 12X?

• 8X and 4X

• 8X and 12X

• 12X and 4X

• 4X and 12X

What is the result of combining 8X and 12X?

• 16X

• 8X

• 4X

• 20X

After simplifying, what does the inequality become?

• 4X + 3 ≤ 29

• 12X - 3 ≤ 29

• 8X - 3 ≤ 29

• 4X - 3 ≤ 29

What operation is performed to both sides to isolate the variable?

• Add 3

• Subtract 3

• Divide by 4

• Multiply by 4

What is the result on the right side after adding 3 to 29?

• 33

• 32

• 34

• 31

What remains on the left side after adding 3?

• 4X

• 6X

• 3X

• 5X

What is the next step after simplifying both sides?

• Subtract 4

• Multiply by 4

• Divide by 4

• Add 4

What is the result of dividing 32 by 4?

• 6

• 7

• 9

• 8

What does the inequality become after dividing by 4?

• X ≤ 8

• X ≥ 8

• X < 8

• X > 8